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Finding the Fourth Proportional to 8,466.45, 12,686.92 and 7,543.66

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Solution

The fourth proportional to 8,466.45, 12,686.92 and 7,543.66 is: 11,304.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.45 : 12,686.92 = 7,543.66 : x
  2. Step 2: Convert to fraction form
    8,466.45/12,686.92 = 7,543.66/x
  3. Step 3: Cross multiply
    8,466.45x = 12,686.92 × 7,543.66
  4. Step 4: Simplify right side
    8,466.45x = 95,705,810.93
  5. Step 5: Solve for x
    x = 95,705,810.93/8,466.45
  6. Step 6: Final answer
    x = 11,304.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.